Home
Class 12
MATHS
IF alpha , beta are real and alp...

IF ` alpha , beta ` are real and ` alpha ^2 , - beta ^2` are the roots of ` a ^2 x^2+x+1-a^2=0 (A gt 1)` then ` beta ^2` =

A

`a^2`

B

`1`

C

`1-a^2`

D

`1+a^2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (QUADRATIC EXPRESSIONS)|106 Videos

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -1)|4 Videos

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -4)|4 Videos

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) Set-4|10 Videos

  • RELATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|49 Videos

Similar Questions

Explore conceptually related problems

If alpha , beta ,1 are roots of x^3 -2x^2 -5x +6=0 ( alpha gt 1) then 3 alpha + beta=

If alpha , beta , gamma are the roots of 2x^3 -2x -1=0 the sum ( alpha beta)^2 =

If alpha , beta , gamma are the roots of x^3 +2x^2 -3x -1=0 then alpha^(-2) + beta^(-2) + gamma^(-2)=

alpha , beta are the roots of x^2+kx+2=0 . If alpha - beta =1 then K=

IF alpha , beta are the roots of x^(2)-x+2=0 then alpha ^ 2 beta + alpha beta ^2 =

If alpha, beta are the roots of x^(2) + 7x + 3 = 0 then (alpha – 1)^(2) + (beta – 1)^(2) =

If alpha , beta are the roots of ax^2+bx +c=0 then (1+ alpha + alpha ^2)(1+ beta + beta ^2) is

If alpha , beta , gamma are the roots of the equation x^3 +4x^2 -5x +3=0 then sum (1)/( alpha^2 beta^2)=

DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. If alpha , beta are the roots of ax^2+bx +c=0 then (1+ alpha +...

    Text Solution

    |

  2. If alpha , beta are the roots of ax ^2-2bx + c=0 then alpha ...

    Text Solution

    |

  3. IF alpha , beta are real and alpha ^2 , - beta ^2 are the ro...

    Text Solution

    |

  4. If alpha , beta are the roots of x^2-2x + 4 =-0 then alpha ^5...

    Text Solution

    |

  5. If alpha and beta are the roots of the equation x^2-2x+4=0...

    Text Solution

    |

  6. Let alpha and beta be the roots of equation px^2 +qx+r =0 , p n...

    Text Solution

    |

  7. IF alpha , beta be the roots of 6x^2-6x +1=0 then (1)/(2) (a + b...

    Text Solution

    |

  8. If alpha , beta are the roots of x^2-p(x+1)+c=0 then (1+alpha )( ...

    Text Solution

    |

  9. IF alpha , beta are the roots of x^2-p(x+1)-c=0 then (alpha ^2...

    Text Solution

    |

  10. IF alpha ,beta are the roots of ax^2 + bx + c=0 and s(n) = a...

    Text Solution

    |

  11. Let alpha and beta be the roots of equation x^2-6x -2=0. If a...

    Text Solution

    |

  12. IF alpha , beta are the roots of the equation ax ^2 + bx +c=0 , ...

    Text Solution

    |

  13. IF the roots of the quadratic equation x^2 +px+q=0 are tan 30...

    Text Solution

    |

  14. IF tan A , tan B are the roots of x ^2 -px+q=0 , the value of ...

    Text Solution

    |

  15. If alpha , beta are the roots of x^2+ax -b=0 and gamma , sig...

    Text Solution

    |

  16. If alpha , beta are the roots of x^2 +px -q=0 and gamma , de...

    Text Solution

    |

  17. If alpha , beta are the roots of x^2 + px +1=0 and gamma , d...

    Text Solution

    |

  18. If alpha , beta are the roots of ax ^2+2bx +c=0 and alpha + si...

    Text Solution

    |

  19. alpha , beta are the roots of ax ^2+bx +c=0 and gamma , sigma...

    Text Solution

    |

  20. The ratio of the roots of the equation ax ^2 + bx +c=0 is same ...

    Text Solution

    |